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A Primal-Dual Approach to Nonparametric Productivity Analysis: the Case of U.S. Agriculture

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  • JEAN-PAUL CHAVAS

    ()

  • THOMAS L. COX

    ()

Abstract

Nonparametric methods for measuring productivity indexes based on bounds for the underlying production technology are presented. Following Banker and Maindiratta, the lower bound is obtained from a primal approach while the upper bound corresponds to a dual approach to nonparametric production analysis. These nonparametric bounds are then used to estimate input-based and output- based distance functions. These radial measures provide the basis for measuring productivity indexes. Application to times series data on U.S. agriculture indicates a large gap between the primal lower bound and the dual upper bound. This generates striking differences between the primal and dual nonparametric productivity indexes.

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Bibliographic Info

Paper provided by Wisconsin-Madison Agricultural and Applied Economics Department in its series Wisconsin-Madison Agricultural and Applied Economics Staff Papers with number 372.

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Length: 27 pages
Date of creation: Feb 1994
Date of revision:
Handle: RePEc:wop:wisaes:372

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References

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  1. Cox, Thomas L & Chavas, Jean-Paul, 1990. "A Nonparametric Analysis of Productivity: The Case of U.S. Agriculture," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 17(4), pages 449-64.
  2. Chavas, Jean-Paul & Cox, Thomas L, 1990. "A Non-parametric Analysis of Productivity: The Case of U.S. and Japanese Manufacturing," American Economic Review, American Economic Association, vol. 80(3), pages 450-64, June.
  3. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-32, November.
  4. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May.
  5. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
  6. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
  7. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-98, October.
  8. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-75, March-Apr.
  9. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
  10. Diewert, W E, 1980. "Capital and the Theory of Productivity Measurement," American Economic Review, American Economic Association, vol. 70(2), pages 260-67, May.
  11. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
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Cited by:
  1. Mullen, John D. & Cox, Thomas L., 1995. "The Returns From Research In Australian Broadacre Agriculture," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 39(02), August.
  2. Chalfant, James A. & Eshel, Dafna M. Disegni, 2001. "A Nonparametric Test Of Advertising'S Effectiveness," 2001 Annual meeting, August 5-8, Chicago, IL 20529, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  3. Munisamy, Gopinath & Roe, Terry L., 1995. "Sources of Sectoral Growth in an Economy Wide Context: The Case of U.S. Agriculture," Bulletins 7454, University of Minnesota, Economic Development Center.
  4. Mullen, John D. & Cox, Thomas L., 1996. "Measuring Productivity Growth In Australian Broadacre Agriculture," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 40(03), December.
  5. Thomas COX & John MULLEN & Wensheng HU, 1996. "Nonparametric Measures Of The Impacts Of Public Research Expenditures On Australian Broadacre Agriculture: Preliminary Results," Staff Papers 399, University of Wisconsin Madison, AAE.
  6. THOMAS COX & John Mullen & Wensheng Hu, 1996. "Nonparametric Measures of the Impacts of Public Research Expenditures on Australian Broadacre Agriculture: Preliminary Results," Wisconsin-Madison Agricultural and Applied Economics Staff Papers 399, Wisconsin-Madison Agricultural and Applied Economics Department.
  7. Asmild, Mette & Paradi, Joseph C. & Reese, David N. & Tam, Fai, 2007. "Measuring overall efficiency and effectiveness using DEA," European Journal of Operational Research, Elsevier, vol. 178(1), pages 305-321, April.
  8. Giannis Karagiannis & George Mergos, 2000. "Total Factor Productivity Growth and Technical Change in a Profit Function Framework," Journal of Productivity Analysis, Springer, vol. 14(1), pages 31-51, July.

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